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Three Parameter Logistic Model
The three parameter logistic curve is defined by the equation
where 
is the final size achieved, 
is a scale parameter, and 
is the x-ordinate of the point of inflection of the curve.
The curve has asymptotes yj = 0 as xj 
-
and 
as xj . Growth rate is at a maximum when yj = 
/2, which occurs when xj = 
. Maximum growth rate corresponds to
The following constraints apply to the fit coefficients:
> 0, > 0, > 0
The response feature vector g for the 3 parameter logistic function is defined as
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